A stochastic behavioral model and a 'Microscopic' foundation of evolutionary game theory

Theory and Decision

Volumn 40, Issue 2, 1996, Pages 149-179

  Helbing, Dirk ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

Behavioral model; Covariance equations; Evolutionary game theory; Imitative processes; Mean value equations; Reliability of rate equations; Self organization of behavioral conventions; Stochastic game theory

Indexed keywords

EID: 0346714631     PISSN: 00405833     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00133171     Document Type: Article

References (27)

1. Arthur, W.B.: 1988, 'Competing Technologies: An Overview', in: Dosi, R. et al. (eds.), Technical Change and Economic Theory, Pinter Publishers, London and New York.
2. Ising, E.: 1925, Zeitschrift für Physik 31, 253ff.
3. Kramers, H.A.: 1940, Physica 7, 284ff.
4. Langevin, R: 1908, Comptes Rendues 146, 530ff.
5. Luce, R.D. and Raiffa, H.: 1957, Games and Decisions, Wiley, New York.
6. Luce, R.D.: 1959, Individual Choice Behavior, Wiley, New York, Ch. 2. A: 'Fechner's Problem'.
7. Moyal, J.E.: 1949, J. Royal Stat. Soc. 11, 151-210.
8. von Neumann, J. and Morgenstern, O.: 1944, Theory of Games and Economic Behavior, Princeton University, Princeton.
9. Nicolis, G. and Prigogine, I.: 1977, Self-Organization in Nonequilibrium Systems, Wiley, New York.
10. Orléan, A.: 1992, 'Contagion des Opinions et Fonctionnement des Marchés Financiers', Revue Économique 43, 685-698.
11. Orléan, A.: 1993, Decentralized Collective Learning and Imitation: A Quantitative Approach', mimeo CREA.
12. Orléan, A. and Robin, J.-M.: 1992, 'Variability of Opinions and Speculative Dynamics on the Market of a Storable Goods', mimeo CREA.
13. Pauli, H.: 1928, in: Debye, P. (ed.), Probleme der Modernen Physik, Hirzel, Leipzig.
14. Planck, M.: 1917, in Sitzungsber. Preuss. Akad. Wiss., pp. 324ff.
15. Prigogine, I.: 1976, 'Order through Fluctuation: Self-Organization and Social System', in: Jantsch, E. and Waddington, C.H. (eds.), Evolution and Consciousness. Human Systems in Transition, Addison-Wesley, Reading, MA.
16. Rapoport, A. and Chammah, A.M.: 1965, Prisoner's Dilemma. A Study in Conflict and Cooperation, University of Michigan Press, Ann Arbor.
17. Schnabl, W, Stadler, P.F., Forst, C., and Schuster, P.: 1991, 'Full Characterization of a Strange Attractor', Physica D 48, 65-90.
18. Schuster, P., Sigmund, K., Hofbauer, J., and Wolff, R.: 1981, 'Selfregulation of Behavior in Animal Societies', Biological Cybernetics 40, 1-25.
19. Stratonovich, R.L.: 1963, 1967, Topics in the Theory of Random Noise, Vols. 1 and 2, Gordon and Breach, New York.
20. Taylor, P. and Jonker, L.: 1978, 'Evolutionarily Stable Strategies and Game Dynamics', Math. Biosciences 40, 145-156.
21. Topol, R.: 1991, 'Bubbles and Volatility of Stock Prices: Effect of Mimetic Contagion', The Economic Journal 101, 786-800.
22. Weidlich, W.: 1971, 'The Statistical Description of Polarization Phenomena in Society', Br. J. Math. Stat. Psychol. 24, 51ff.
23. Weidlich, W.: 1972, The Use of Statistical Models in Sociology', Collective Phenomena 1, 51-59.
24. Weidlich, W.: 1991, 'Physics and Social Science - The Approach of Synergetics', Physics Reports 204, 1-163.
25. Weidlich, W. and Braun, M.: 1992, 'The Master Equation Approach to Nonlinear Economics', Journal of Evolutionary Economics 2, 233-265.
26. Weidlich, W. and Haag, G.: 1983, Concepts and Models of a Quantitative Sociology. The Dynamics of Interacting Populations, Springer, Berlin.
27. Zeeman, E.C.: 1980, 'Population Dynamics from Game Theory', in: Global Theory of Dynamical Systems, Lecture Notes in Mathematics Vol. 819.